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A strong limit theorem on gambling strategy for Bernoulli sequences is extended to the sequences of arbitrary dependent random variables which take numberable values by using the conditional moment generating function .

利用条件矩母函数将关于Bernoulli序列赌博策略的一个强极限定理推广到取可列值的任意相依随机变量序列的情况，并且通过允许选择函数在一个区间中取值，推广了随机选择的概念。

In modeling heavy tails,we focus on multivariate t distributions and derive the moment generating function of the quadratic approximation.Then we use Fourier transform,Chebychev's Inequality and numerical technique inversion to approximate VaR value of portfolio,compared with Cornish-Fisher Expansions normal model and Delta-Normal model.

在推导出多个外汇期权的投资组合的二次近拟的矩母函数表达式基础上，本文使用傅里叶变换、切比雪夫不等式、数值转换计算求出投资组合的VaR的值，并和基于多元正态分布Cornish-Fisher模型以及基于Delta-正态模型计算所得的VaR值了进行比较。

In terms of average Symbol-Error Rate at the destination, the performances of multi-relay cooperative transmission with Maximal Ratio Combining detection and opportunistic relaying with multi-node listening were analyzed, one relay retransmitting in Amplify-and-Forward networks under independent Rayleigh slow fading channels. The closed-form expressions of SER for M-PSK and M-QAM modulations are also derived based on Moment Generating Function.

该文从接收端平均误符号率的角度，分析了独立的瑞利衰落信道下，采用放大转发的多中继协同最大比合并检测方案和多节点侦听，单中继转发的机会中继方案的性能；并基于矩生成函数推导出两种方案下M-PSK和M-QAM调制信号平均误符号率的闭合表达式。

Owing to the complexity of CIMS' missions,the reliability modeling should adapt the production processes accurately.Conventional reliability model method can not reflect the time dynamic behavior of CIMS,so the multitask reliability model based on generalized stochastic Petri nets is established for a CIMS manufacturing shop with multiple missions and the process times of the machines with exponential distributions.Furthermore,analysis of GSPN model based on behavior expression and moment generating function is presented,then can compute the transfer functions.Finally,the multitask reliability can be easily obtained without the reachability graph of Petri nets,which measure can reflect the operating performance of the whole multitask CIMS more intuitively.

CIMS生产的复杂性要求其可靠性模型可以精确地反映生产过程，由于传统的可靠性建模方法无法兼顾CIMS的时间动态特性，所以针对一个复杂的有多个加工任务的CIMS制造单元，由于其机器加工工件的时间均为指数分布，则采用广义随机Petri网进行多任务可靠性建模，在此基础上基于Petri网行为表达式，将矩母函数思想引入其中，不必生成可达标识图就可通过计算模型的传递函数，进而得到整个系统的多任务可靠度，该可靠性指标可以更直观地反映具有多种加工任务的整个CIMS的运行性能。

A model of an additive mixture of Gaussian and non-Gaussian impulsive noise is adopted, and the asymptotical solution of the closed-form expression for the average symbol error rate of orthogonal space-time block coding over Rayleigh flat fading channel is derived by means of the Moment Generating Function with the approximate equivalent Multiple-Input Single-Output model of mixture noise.

采用脉冲和高斯加性混合噪声模型，利用矩母函数分析方法，通过建立多发单收近似等效模型，推导出Rayleigh衰落信道下MISO空时分组码误符号率闭式表达式的渐近解。

3D model may be manipulated so that its shape could be observed from any view, and is displayed on the screen by static state and dynamic. The property of volume and the moment of inertia matrix are obtained from the octree of object by the algorithms presented in this dissertation. To fit the application of recognition, we studies the method by which 3D model octree is used for recognition.

作者研究了对重建飞机三维形体的旋转和操作，提出了飞机体积及惯性矩的计算算法，并利用计算机图形学技术，对重建的飞机三维形体进行了静态和动态显示，论文对重建的飞机三维模型用于识别的方法进行了探索性的研究。

Inspired by image salient area detection model, A model for extracting local invariant feature is proposed based on salient measurement of local second moment matrix.

借鉴图像显著性区域的检测思想，提出一种基于局部二阶矩显著性估算的局部不变特征提取算法。

Based on the Green function technique,the authors have analyzed the effect of the decoupling approximation on treating the interelectronic correlations and then calculated the local moment,hybridization matrix element,and ground state energy of the one dimensional,symmetric,periodic Anderson model.

基于Green函数技术，作者首先分析了切断近似对处理一维对称周期Anderson模型中电子间关联的影响，然后计算了该模型的局域磁矩、杂化能量元和基态能量。

From the point of vertical interconnect via, the matrix pencil moment method, FDTD, edge-element FEM, microwave network model method and CAD model method of vertical via interconnect were introduced. The analysis of these methods shows their advantages and shortcomings.

从垂直互连通孔入手，介绍了垂直通孔互连的矩阵束矩量法、时域有限差分法、边基有限元法以及微波网络模型法和CAD模型法，分析了这些方法已经取得的结果，并指出了这些方法的优缺点。

Characteristic number of inertia moment of gray level co-occurrence matrix can reflect the feature of complexity of image gray space. Optimum space coefficient of LOG operator can be ac-quired effectively and most noise of images can be removed.

通过纹理分析，利用灰度共生矩阵惯性矩特征值能够反映图像灰度空间复杂度的特性，成功获取了LOG边缘检测算子最佳空间系数，抑制了图像中的大部分噪声。

According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm～150rpm时取得最大值，此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世，形体几无变化。